Finding the Fourth Proportional to 1,709.31, 2,564.31 and 613.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,709.31 : 2,564.31 = 613.76 : x
2. Step 2: Convert to fraction form
   1,709.31/2,564.31 = 613.76/x
3. Step 3: Cross multiply
   1,709.31x = 2,564.31 × 613.76
4. Step 4: Simplify right side
   1,709.31x = 1,573,869.37
5. Step 5: Solve for x
   x = 1,573,869.37/1,709.31
6. Step 6: Final answer
   x = 920.76